Data and probability · Ages 12–13

Interpreting stem-and-leaf diagrams worksheet

Part of: Organising data & statistical charts

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Data and probability · Ages 12–13

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The stem-and-leaf diagram shows a team's scores; 50 or more is a pass. How many did not pass?
Answer:
2.The stem-and-leaf diagram shows a team's scores; 30 or more is a pass. How many did not pass?
Answer:
3.The stem-and-leaf diagram shows a team's scores; 40 or more is a pass. How many did not pass?
Answer:
4.The stem-and-leaf diagram shows 20 players' scores; 60 or more gets a place. get a place; those who don't are % of the team.
Fill in each blank
Answer:
5.The stem-and-leaf diagram shows 20 players' scores. What percentage of them scored 40 or more?
Answer:
6.The stem-and-leaf diagram shows 20 players' scores; 50 or more gets a place. get a place; those who don't are % of the team.
Fill in each blank
Answer:

7.The stem-and-leaf diagram shows a team's scores. At least one player scored 59 or more.
True or false?
Answer:
8.The stem-and-leaf diagram shows a team's scores. Which statement is right?
- A. 12 players scored 30 or more
- B. The highest score is 55
- C. The team has 11 players
- D. The lowest score is 28
Choose the right answer
Answer:
9.The stem-and-leaf diagram shows a team's scores. At least one player scored 45 or more.
True or false?
Answer:
10.The stem-and-leaf diagram shows a team's scores. More players scored 30 or more than scored under 30.
True or false?
Answer:
11.The stem-and-leaf diagram shows a team's scores. More players scored 50 or more than scored under 50.
True or false?
Answer:
12.The stem-and-leaf diagram shows a team's scores. More players scored 40 or more than scored under 40.
True or false?
Answer:

13.The stem-and-leaf diagram shows 20 players' scores. More than 30% of them scored 50 or more.
True or false?
Working:
Answer:
14.The stem-and-leaf diagram shows the scores of 20 players in Ka-yan's team. The best 25% win a prize (no ties to worry about). What is the lowest score among the winners?
Working:
Answer:
15.The stem-and-leaf diagram shows how many skips each of the 20 members of Ming's rope-skipping team did in a minute. Put in order from fewest to most, the 10th and 11th counts are and .
Fill in each blank
Working:
Answer:
16.The stem-and-leaf diagram shows the scores in Ka-yan's team. Which statement is right?
- A. The 2nd lowest score is 38
- B. 9 players scored 40 or more
- C. The highest and lowest differ by 24
- D. 2 players scored under 40
Choose the right answer
Working:
Answer:
17.The stem-and-leaf diagram shows 20 players' scores. More than 50% of them scored 60 or more.
True or false?
Working:
Answer:
18.The stem-and-leaf diagram shows the scores in Ming's team. Which statement is right?
- A. 0 players scored under 40
- B. 16 players scored 40 or more
- C. The highest and lowest differ by 20
- D. The 2nd lowest score is 42
Choose the right answer
Working:
Answer:

Show the answers and working

Interpreting stem-and-leaf diagrams worksheet: Answers and working

1. 6
Not passing is under 50: count the leaves in the rows before 50's, 6. Or take those who passed from the team of 10.
2. 1
Not passing is under 30: count the leaves in the rows before 30's, 1. Or take those who passed from the team of 14.
3. 5
Not passing is under 40: count the leaves in the rows before 40's, 5. Or take those who passed from the team of 13.
4. 6, 70
6 scored 60 or more; 20 − 6 did not, (20 − 6) ÷ 20 × 100% = 70%.
5. 65%
13 scored 40 or more: 13 ÷ 20 × 100% = 65%.
6. 12, 40
12 scored 50 or more; 20 − 12 did not, (20 − 12) ÷ 20 × 100% = 40%.

7. False
The highest score is 57. Someone scored 59 or more only if 59 is no more than 57.
8. D. The lowest score is 28
Read off the diagram: highest 53, lowest 28, 12 players, 10 scoring 30 or more; then check each statement.
9. False
The highest score is 42. Someone scored 45 or more only if 45 is no more than 42.
10. True
8 scored 30 or more and 11 − 8 = 3 scored under 30. Compare 8 with 3.
11. True
6 scored 50 or more and 11 − 6 = 5 scored under 50. Compare 6 with 5.
12. True
8 scored 40 or more and 14 − 8 = 6 scored under 40. Compare 8 with 6.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. True
15 scored 50 or more: 15 ÷ 20 × 100% = 75%. Compare 75% with 30%.
14. 61
25% of 20 is 5 players. Count back 5 from the highest: the 5th highest is 61.
15. 56, 58
The leaves are already in order: counting from the first leaf of the first row, the 10th is 56 and the 11th 58.
16. B. 9 players scored 40 or more
Read off the diagram: 3 under 40, 9 at 40 or more, a gap of 26 between highest and lowest, 36 2nd lowest; then check each.
17. False
1 scored 60 or more: 1 ÷ 20 × 100% = 5%. Compare 5% with 50%.
18. A. 0 players scored under 40
Read off the diagram: 0 under 40, 14 at 40 or more, a gap of 19 between highest and lowest, 40 2nd lowest; then check each.

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